# Internship Stochastics (dt. Praktikum zur Stochastik)

 Level, degree of commitment Practical module, compulsory elective module Forms of teaching and learning,workload Internship (4 SWS), 180 hours (60 h attendance, 120 h private study) Credit points,formal requirements 6 CP Course requirement(s): Presentation of three task solutions. Attendance is compulsory. Examination type: internship report Language,Grading German,The module is ungraded in accordance with the examination regulations for the degree program B.Sc. Business Mathematics. Duration,frequency One semester, In the summer semester / as a block course during the lecture-free period in spring Person in charge of the module's outline Prof. Dr. Hajo Holzmann

## Contents

The practical course is based on the statistics software ''R''. First, the functionalities of ''R'' are introduced. Subsequently, the theory is briefly introduced to the topics listed below. The methods introduced are investigated with ''R'' on the basis of simulations and applied to data sets.

Topics (only a selection is covered)

• Basics in dealing with R
• Random variables and their simulation
• descriptive statistics and graphics
• Point and interval estimation
• Statistical hypothesis tests
• Analysis of multivariate data
• Linear Regression
• Covariance and variance analysis
• Generalized linear models

## Qualification Goals

Students

• are able to use the statistical software R,
• can investigate statistical procedures using suitable simulations,
• can apply appropriate statistical procedures to given data sets and problems,
• are able to process results obtained in writing in an appropriate manner,
• have experience in teamwork and work organization through the development of tasks.

## Prerequisites

None. The competences taught in the following modules are recommended: either Foundations of Mathematics and Linear Algebra I and Linear Algebra II or Basic Linear Algebra, either Analysis I and Analysis II or Basic Real Analysis, Elementary Probability and Statistics.

## Applicability

The module can be attended at FB12 in study program(s)

• B.Sc. Data Science
• B.Sc. Mathematics
• M.Sc. Mathematics
• BA Minor Mathematics

When studying B.Sc. Business Mathematics, this module can be attended in the study area Continuing Modules in Mathematics.

The module can also be used in other study programs (export module).